Paul Norbury and Nick Scott

Abstract

We prove that genus-zero and genus-one stationary Gromov–Witten invariants of
ℙ1
arise as the Eynard–Orantin invariants of the spectral curve
x=z+1∕z,
y= lnz. As
an application we show that tautological intersection numbers on the moduli space of
curves arise in the asymptotics of large-degree Gromov–Witten invariants of
ℙ1.